Czasopismo
2014
|
Vol 54, No. 2
|
179--189
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
This paper deals with the existence of solutions to impulsive partial hyperbolic differential equations with finite delay, involving the Caputo fractional derivative. Our results will be obtained using Krasnoselskii fixed point theorem.
Czasopismo
Rocznik
Tom
Strony
179--189
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Laboratory of Mathematics, University of Sidi Bel-Abbès P.O. Box 89, 22000 Sidi Bel-Abbès, Algeria, benchohra@univ-sba.dz
- Department of Mathematics, Faculty of Science, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia
autor
- Laboratory of Mathematics, University of Sidi Bel-Abb`es P.O. Box 89, 22000 Sidi Bel-Abb`es, Algeria
Bibliografia
- [1] S. Abbas, M. Benchohra and G.M. N’Guérékata, Topics in Fractional Differential Equations, Springer, New York, 2012.
- [2] S. Abbas, M. Benchohra and G.M. N’Guérékata, Advanced Fractional Differential and Integral Equations, Nova Science Publishers, New York, 2014.
- [3] D. Baleanu, K. Diethelm, E. Scalas, J.J. Trujillo, Fractional Calculus Models and Numerical Methods, World Scientific Publishing, New York, 2012.
- [4] M. Benchohra, J. Henderson and S. K. Ntouyas, Impulsive Differential Equations and Inclusions, Hindawi Publishing Corporation, Vol 2, New York, 2006.
- [5] T. A. Burton and C. Kirk, A fixed point theorem of Krasnoselskii-Schaefer type, Math. Nachr. 189 (1998), 23-31.
- [6] D. Henry, Geometric theory of Semilinear Parabolic Partial Differential Equations, Springer-Verlag, Berlin-New York, 1989.
- [7] R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific, Singapore, 2000.
- [8] A. A. Kilbas, Hari M. Srivastava, and Juan J. Trujillo, Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies 20. Elsevier Science B.V., Amsterdam, 2006.
- [9] V. Lakshmikantham, D. D. Bainov and P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
- [10] V. Lakshmikantham, S. Leela and J. Vasundhara, Theory of Fractional Dynamic Systems, Cambridge Academic Publishers, Cambridge, 2009.
- [11] A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations, World Scientific, Singapore, 1995.
- [12] V. E. Tarasov, Fractional Dynamics: Application of Fractional Calculus to Dynamics of Particles, Fields and Media, Springer, Heidelberg; Higher Education Press, Beijing, 2010.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-8937bc5f-03d6-4b0b-88a7-d9d68dd00130